Question
$\lim _{x \rightarrow 2} \frac{x^2-4}{\sqrt{x}-\sqrt{2}}$

Answer

$8 \sqrt{2}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Differentiate between fixed base and chain base method. (Any Three points)
A number is selected from the natural number $1$ to $100 .$ Find the probability of the event that the selected number is a multiple of $3$ or $5 .$
The following data is obtained to study the relation between annual income $(X)$ and investment in shares $(Y)$ of some families.$\bar{x}=13.5, \bar{y}=16.5, \Sigma(x-12)(y-15)=80, \Sigma(x-12)^2=400, \Sigma(y-15)^2=80$ and $\Sigma(x-12)=12$ Where $X=$ Annual income $($lakh $₹) Y=\text { Share investment (thousand ₹) } $ Find the correlation coefficient and interpret it.
As compared to $2016,$ the price of three items have increased by $240\%, 350\%$ and $160\%$ respectively while the price of two items have decreased by $5\%$ and $10\%$ respectively in $2017.$ If the percentage of expense on these items are $16, 12, 28, 36$ and $8$ respectively, find the index number of price for $2017.$
$\lim _{x \rightarrow 2} \frac{\sqrt{x+7}-3}{x-2}$
Two balanced dice are thrown simultaneously. Find the probability that the sum of numbers on two dice is a multiple of $2$ or $3 .$
Obtain derivative of $y=1+\frac{2}{3+\frac{4}{x}}$ with respect to $x$.
The mean and variance of the binomial distribution are $2$ and $\frac{6}{5}$ respectively. Find $P(x \leq 1)$ for this binomial distribution.
Examine whether the following distribution is a probability distribution of a discrete random variable $X$ :$P(x)=\frac{x+2}{25} ; x=1,2,3,4,5$
State the merits and limitations of the method of least squares.